Homogenization of the Stokes system in a thin film flow with rapidly varying thickness
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an investigation of the types of text reduction in subtitling: a case study of the persian film gilaneh with english subtitles
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15 صفحه اولA justification for the thin film approximation of Stokes flow with surface tension
In the free boundary problem of Stokes flow driven by surface tension, we pass to the limit of small layer thickness. It is rigorously shown that in this limit the evolution is given by the well-known thin film equation. The main techniques are appropriate scaling and uniform energy estimates in Sobolev spaces of sufficiently high order, based on parabolicity.
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 1989
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/1989230202051